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Vectors · Question 12 of 125

Question 12

EasyOriginal question

Read the two statements and choose the correct option.

I. i^+j^\hat{i} + \hat{j} and −i^−j^-\hat{i} - \hat{j} are collinear vectors.

II. Two equal vectors must have the same initial point.

Options for question 12

Show the answer and explanation
CorrectNot quiteAnswer A

Correct answer: A

Explanation

  1. I: −i^−j^=−1(i^+j^)-\hat{i} - \hat{j} = -1(\hat{i} + \hat{j}), a scalar multiple, so they are collinear. True.

  2. II: equal vectors need only the same magnitude and the same direction; their initial points can differ. False.

Worth noting

Opposite directions do not stop two vectors from being collinear.

Concept
Types of vectors
Typical time
60 s
Your time
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The rule this testsVectors and their types
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Ten questions from Vectors, at your own pace.

Practise this chapter →

Ten questions from Vectors, at your own pace.